Question

The science club wants to buy t-shirts for the organization. They have a budget of 120. Plain white T-shirts cost three dollars, and a red T-shirt with writing costs six. There are 20 students in the club, all are not sure if they are going to purchase a T-shirt. Write and graph a system of inequalities to model the number of T-shirts the club can purchase to stay under budget.

A. 3x + 6y ≤ 120
B. 3x + 6y > 120
C. 3x + 6y = 120
D. x + y ≤ 20

Answer 1

To model the number of T-shirts the club can purchase on a budget of $120, a system of inequalities can be set up. The inequality 3x + 6y ≤ 120 represents the total cost of the T-shirts, where x represents the number of plain white T-shirts and y represents the number of red T-shirts with writing.

Step-by-step explanation:

To model the number of T-shirts the club can purchase to stay under budget, we can set up a system of inequalities. Let's say x represents the number of plain white T-shirts and y represents the number of red T-shirts with writing. The cost of each plain white T-shirt is $3, so the total cost for the plain white T-shirts is 3x. The cost of each red T-shirt with writing is $6, so the total cost for the red T-shirts with writing is 6y. The total budget is $120, so the inequality for the total cost would be 3x + 6y ≤ 120. This means that the cost of the plain white T-shirts plus the cost of the red T-shirts with writing must be less than or equal to $120.